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Finding the Fourth Proportional to 1,064.39, 1,468.61 and 644.73

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Solution

The fourth proportional to 1,064.39, 1,468.61 and 644.73 is: 889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 1,468.61 = 644.73 : x
  2. Step 2: Convert to fraction form
    1,064.39/1,468.61 = 644.73/x
  3. Step 3: Cross multiply
    1,064.39x = 1,468.61 × 644.73
  4. Step 4: Simplify right side
    1,064.39x = 946,856.93
  5. Step 5: Solve for x
    x = 946,856.93/1,064.39
  6. Step 6: Final answer
    x = 889.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.